Stability of spectral eigenspaces in nonlinear Schrodinger equations
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math.APmath.MP
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equationslinearschrodingeralmostassociatedconsiderdimensionaldimensions
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We consider the time-dependent non linear Schrodinger equations with a double well potential in dimensions d =1 and d=2. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear operator is almost invariant for any time.
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